xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision bd72cc96a88a65abf6bb30395310aba0ee1eb0fe)
1 
2 #include <../src/mat/impls/baij/mpi/mpibaij.h>    /*I "petscmat.h" I*/
3 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
4 #include <../src/mat/impls/sbaij/seq/sbaij.h>
5 #include <petscblaslapack.h>
6 
7 extern PetscErrorCode MatSetUpMultiply_MPISBAIJ(Mat);
8 extern PetscErrorCode MatSetUpMultiply_MPISBAIJ_2comm(Mat);
9 extern PetscErrorCode DisAssemble_MPISBAIJ(Mat);
10 extern PetscErrorCode MatIncreaseOverlap_MPISBAIJ(Mat,PetscInt,IS[],PetscInt);
11 extern PetscErrorCode MatGetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
12 extern PetscErrorCode MatGetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
13 extern PetscErrorCode MatSetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt [],PetscInt,const PetscInt [],const PetscScalar [],InsertMode);
14 extern PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
15 extern PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
16 extern PetscErrorCode MatGetRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
17 extern PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
18 extern PetscErrorCode MatZeroRows_SeqSBAIJ(Mat,IS,PetscScalar*,Vec,Vec);
19 extern PetscErrorCode MatZeroRows_SeqBAIJ(Mat,IS,PetscScalar *,Vec,Vec);
20 extern PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat,Vec,PetscInt[]);
21 extern PetscErrorCode MatSOR_MPISBAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
22 
23 EXTERN_C_BEGIN
24 #undef __FUNCT__
25 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
26 PetscErrorCode  MatStoreValues_MPISBAIJ(Mat mat)
27 {
28   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
29   PetscErrorCode ierr;
30 
31   PetscFunctionBegin;
32   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
33   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
34   PetscFunctionReturn(0);
35 }
36 EXTERN_C_END
37 
38 EXTERN_C_BEGIN
39 #undef __FUNCT__
40 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
41 PetscErrorCode  MatRetrieveValues_MPISBAIJ(Mat mat)
42 {
43   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
44   PetscErrorCode ierr;
45 
46   PetscFunctionBegin;
47   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
48   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
49   PetscFunctionReturn(0);
50 }
51 EXTERN_C_END
52 
53 
54 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv) \
55 { \
56  \
57     brow = row/bs;  \
58     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
59     rmax = aimax[brow]; nrow = ailen[brow]; \
60       bcol = col/bs; \
61       ridx = row % bs; cidx = col % bs; \
62       low = 0; high = nrow; \
63       while (high-low > 3) { \
64         t = (low+high)/2; \
65         if (rp[t] > bcol) high = t; \
66         else              low  = t; \
67       } \
68       for (_i=low; _i<high; _i++) { \
69         if (rp[_i] > bcol) break; \
70         if (rp[_i] == bcol) { \
71           bap  = ap +  bs2*_i + bs*cidx + ridx; \
72           if (addv == ADD_VALUES) *bap += value;  \
73           else                    *bap  = value;  \
74           goto a_noinsert; \
75         } \
76       } \
77       if (a->nonew == 1) goto a_noinsert; \
78       if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
79       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
80       N = nrow++ - 1;  \
81       /* shift up all the later entries in this row */ \
82       for (ii=N; ii>=_i; ii--) { \
83         rp[ii+1] = rp[ii]; \
84         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
85       } \
86       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
87       rp[_i]                      = bcol;  \
88       ap[bs2*_i + bs*cidx + ridx] = value;  \
89       a_noinsert:; \
90     ailen[brow] = nrow; \
91 }
92 
93 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv) \
94 { \
95     brow = row/bs;  \
96     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
97     rmax = bimax[brow]; nrow = bilen[brow]; \
98       bcol = col/bs; \
99       ridx = row % bs; cidx = col % bs; \
100       low = 0; high = nrow; \
101       while (high-low > 3) { \
102         t = (low+high)/2; \
103         if (rp[t] > bcol) high = t; \
104         else              low  = t; \
105       } \
106       for (_i=low; _i<high; _i++) { \
107         if (rp[_i] > bcol) break; \
108         if (rp[_i] == bcol) { \
109           bap  = ap +  bs2*_i + bs*cidx + ridx; \
110           if (addv == ADD_VALUES) *bap += value;  \
111           else                    *bap  = value;  \
112           goto b_noinsert; \
113         } \
114       } \
115       if (b->nonew == 1) goto b_noinsert; \
116       if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
117       MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
118       N = nrow++ - 1;  \
119       /* shift up all the later entries in this row */ \
120       for (ii=N; ii>=_i; ii--) { \
121         rp[ii+1] = rp[ii]; \
122         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
123       } \
124       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
125       rp[_i]                      = bcol;  \
126       ap[bs2*_i + bs*cidx + ridx] = value;  \
127       b_noinsert:; \
128     bilen[brow] = nrow; \
129 }
130 
131 /* Only add/insert a(i,j) with i<=j (blocks).
132    Any a(i,j) with i>j input by user is ingored.
133 */
134 #undef __FUNCT__
135 #define __FUNCT__ "MatSetValues_MPISBAIJ"
136 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
137 {
138   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
139   MatScalar      value;
140   PetscBool      roworiented = baij->roworiented;
141   PetscErrorCode ierr;
142   PetscInt       i,j,row,col;
143   PetscInt       rstart_orig=mat->rmap->rstart;
144   PetscInt       rend_orig=mat->rmap->rend,cstart_orig=mat->cmap->rstart;
145   PetscInt       cend_orig=mat->cmap->rend,bs=mat->rmap->bs;
146 
147   /* Some Variables required in the macro */
148   Mat            A = baij->A;
149   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)(A)->data;
150   PetscInt       *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
151   MatScalar      *aa=a->a;
152 
153   Mat            B = baij->B;
154   Mat_SeqBAIJ   *b = (Mat_SeqBAIJ*)(B)->data;
155   PetscInt      *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
156   MatScalar     *ba=b->a;
157 
158   PetscInt      *rp,ii,nrow,_i,rmax,N,brow,bcol;
159   PetscInt      low,high,t,ridx,cidx,bs2=a->bs2;
160   MatScalar     *ap,*bap;
161 
162   /* for stash */
163   PetscInt      n_loc, *in_loc = PETSC_NULL;
164   MatScalar     *v_loc = PETSC_NULL;
165 
166   PetscFunctionBegin;
167   if (v) PetscValidScalarPointer(v,6);
168   if (!baij->donotstash){
169     if (n > baij->n_loc) {
170       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
171       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
172       ierr = PetscMalloc(n*sizeof(PetscInt),&baij->in_loc);CHKERRQ(ierr);
173       ierr = PetscMalloc(n*sizeof(MatScalar),&baij->v_loc);CHKERRQ(ierr);
174       baij->n_loc = n;
175     }
176     in_loc = baij->in_loc;
177     v_loc  = baij->v_loc;
178   }
179 
180   for (i=0; i<m; i++) {
181     if (im[i] < 0) continue;
182 #if defined(PETSC_USE_DEBUG)
183     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
184 #endif
185     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
186       row = im[i] - rstart_orig;              /* local row index */
187       for (j=0; j<n; j++) {
188         if (im[i]/bs > in[j]/bs){
189           if (a->ignore_ltriangular){
190             continue;    /* ignore lower triangular blocks */
191           } else {
192             SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
193           }
194         }
195         if (in[j] >= cstart_orig && in[j] < cend_orig){  /* diag entry (A) */
196           col = in[j] - cstart_orig;          /* local col index */
197           brow = row/bs; bcol = col/bs;
198           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
199           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
200           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv);
201           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
202         } else if (in[j] < 0) continue;
203 #if defined(PETSC_USE_DEBUG)
204         else if (in[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap->N-1);
205 #endif
206         else {  /* off-diag entry (B) */
207           if (mat->was_assembled) {
208             if (!baij->colmap) {
209               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
210             }
211 #if defined (PETSC_USE_CTABLE)
212             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
213             col  = col - 1;
214 #else
215             col = baij->colmap[in[j]/bs] - 1;
216 #endif
217             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
218               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
219               col =  in[j];
220               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
221               B = baij->B;
222               b = (Mat_SeqBAIJ*)(B)->data;
223               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
224               ba=b->a;
225             } else col += in[j]%bs;
226           } else col = in[j];
227           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
228           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv);
229           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
230         }
231       }
232     } else {  /* off processor entry */
233       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
234       if (!baij->donotstash) {
235         n_loc = 0;
236         for (j=0; j<n; j++){
237           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
238           in_loc[n_loc] = in[j];
239           if (roworiented) {
240             v_loc[n_loc] = v[i*n+j];
241           } else {
242             v_loc[n_loc] = v[j*m+i];
243           }
244           n_loc++;
245         }
246         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc,PETSC_FALSE);CHKERRQ(ierr);
247       }
248     }
249   }
250   PetscFunctionReturn(0);
251 }
252 
253 #undef __FUNCT__
254 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
255 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
256 {
257   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
258   const MatScalar *value;
259   MatScalar       *barray=baij->barray;
260   PetscBool       roworiented = baij->roworiented,ignore_ltriangular = ((Mat_SeqSBAIJ*)baij->A->data)->ignore_ltriangular;
261   PetscErrorCode  ierr;
262   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
263   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
264   PetscInt        cend=baij->rendbs,bs=mat->rmap->bs,bs2=baij->bs2;
265 
266   PetscFunctionBegin;
267   if(!barray) {
268     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
269     baij->barray = barray;
270   }
271 
272   if (roworiented) {
273     stepval = (n-1)*bs;
274   } else {
275     stepval = (m-1)*bs;
276   }
277   for (i=0; i<m; i++) {
278     if (im[i] < 0) continue;
279 #if defined(PETSC_USE_DEBUG)
280     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
281 #endif
282     if (im[i] >= rstart && im[i] < rend) {
283       row = im[i] - rstart;
284       for (j=0; j<n; j++) {
285         if (im[i] > in[j]) {
286           if (ignore_ltriangular) continue; /* ignore lower triangular blocks */
287           else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
288         }
289         /* If NumCol = 1 then a copy is not required */
290         if ((roworiented) && (n == 1)) {
291           barray = (MatScalar*) v + i*bs2;
292         } else if((!roworiented) && (m == 1)) {
293           barray = (MatScalar*) v + j*bs2;
294         } else { /* Here a copy is required */
295           if (roworiented) {
296             value = v + i*(stepval+bs)*bs + j*bs;
297           } else {
298             value = v + j*(stepval+bs)*bs + i*bs;
299           }
300           for (ii=0; ii<bs; ii++,value+=stepval) {
301             for (jj=0; jj<bs; jj++) {
302               *barray++  = *value++;
303             }
304           }
305           barray -=bs2;
306         }
307 
308         if (in[j] >= cstart && in[j] < cend){
309           col  = in[j] - cstart;
310           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
311         }
312         else if (in[j] < 0) continue;
313 #if defined(PETSC_USE_DEBUG)
314         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
315 #endif
316         else {
317           if (mat->was_assembled) {
318             if (!baij->colmap) {
319               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
320             }
321 
322 #if defined(PETSC_USE_DEBUG)
323 #if defined (PETSC_USE_CTABLE)
324             { PetscInt data;
325               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
326               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
327             }
328 #else
329             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
330 #endif
331 #endif
332 #if defined (PETSC_USE_CTABLE)
333 	    ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
334             col  = (col - 1)/bs;
335 #else
336             col = (baij->colmap[in[j]] - 1)/bs;
337 #endif
338             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
339               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
340               col =  in[j];
341             }
342           }
343           else col = in[j];
344           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
345         }
346       }
347     } else {
348       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
349       if (!baij->donotstash) {
350         if (roworiented) {
351           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
352         } else {
353           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
354         }
355       }
356     }
357   }
358   PetscFunctionReturn(0);
359 }
360 
361 #undef __FUNCT__
362 #define __FUNCT__ "MatGetValues_MPISBAIJ"
363 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
364 {
365   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
366   PetscErrorCode ierr;
367   PetscInt       bs=mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
368   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
369 
370   PetscFunctionBegin;
371   for (i=0; i<m; i++) {
372     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
373     if (idxm[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap->N-1);
374     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
375       row = idxm[i] - bsrstart;
376       for (j=0; j<n; j++) {
377         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
378         if (idxn[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap->N-1);
379         if (idxn[j] >= bscstart && idxn[j] < bscend){
380           col = idxn[j] - bscstart;
381           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
382         } else {
383           if (!baij->colmap) {
384             ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
385           }
386 #if defined (PETSC_USE_CTABLE)
387           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
388           data --;
389 #else
390           data = baij->colmap[idxn[j]/bs]-1;
391 #endif
392           if((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
393           else {
394             col  = data + idxn[j]%bs;
395             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
396           }
397         }
398       }
399     } else {
400       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
401     }
402   }
403  PetscFunctionReturn(0);
404 }
405 
406 #undef __FUNCT__
407 #define __FUNCT__ "MatNorm_MPISBAIJ"
408 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
409 {
410   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
411   PetscErrorCode ierr;
412   PetscReal      sum[2],*lnorm2;
413 
414   PetscFunctionBegin;
415   if (baij->size == 1) {
416     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
417   } else {
418     if (type == NORM_FROBENIUS) {
419       ierr = PetscMalloc(2*sizeof(PetscReal),&lnorm2);CHKERRQ(ierr);
420       ierr =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
421       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
422       ierr =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
423       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
424       ierr = MPI_Allreduce(lnorm2,&sum,2,MPIU_REAL,MPIU_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
425       *norm = PetscSqrtReal(sum[0] + 2*sum[1]);
426       ierr = PetscFree(lnorm2);CHKERRQ(ierr);
427     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
428       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
429       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
430       PetscReal    *rsum,*rsum2,vabs;
431       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
432       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
433       MatScalar    *v;
434 
435       ierr  = PetscMalloc2(mat->cmap->N,PetscReal,&rsum,mat->cmap->N,PetscReal,&rsum2);CHKERRQ(ierr);
436       ierr  = PetscMemzero(rsum,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
437       /* Amat */
438       v = amat->a; jj = amat->j;
439       for (brow=0; brow<mbs; brow++) {
440         grow = bs*(rstart + brow);
441         nz = amat->i[brow+1] - amat->i[brow];
442         for (bcol=0; bcol<nz; bcol++){
443           gcol = bs*(rstart + *jj); jj++;
444           for (col=0; col<bs; col++){
445             for (row=0; row<bs; row++){
446               vabs = PetscAbsScalar(*v); v++;
447               rsum[gcol+col] += vabs;
448               /* non-diagonal block */
449               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
450             }
451           }
452         }
453       }
454       /* Bmat */
455       v = bmat->a; jj = bmat->j;
456       for (brow=0; brow<mbs; brow++) {
457         grow = bs*(rstart + brow);
458         nz = bmat->i[brow+1] - bmat->i[brow];
459         for (bcol=0; bcol<nz; bcol++){
460           gcol = bs*garray[*jj]; jj++;
461           for (col=0; col<bs; col++){
462             for (row=0; row<bs; row++){
463               vabs = PetscAbsScalar(*v); v++;
464               rsum[gcol+col] += vabs;
465               rsum[grow+row] += vabs;
466             }
467           }
468         }
469       }
470       ierr = MPI_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPIU_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
471       *norm = 0.0;
472       for (col=0; col<mat->cmap->N; col++) {
473         if (rsum2[col] > *norm) *norm = rsum2[col];
474       }
475       ierr = PetscFree2(rsum,rsum2);CHKERRQ(ierr);
476     } else {
477       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for this norm yet");
478     }
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
485 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
486 {
487   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
488   PetscErrorCode ierr;
489   PetscInt       nstash,reallocs;
490   InsertMode     addv;
491 
492   PetscFunctionBegin;
493   if (baij->donotstash || mat->nooffprocentries) {
494     PetscFunctionReturn(0);
495   }
496 
497   /* make sure all processors are either in INSERTMODE or ADDMODE */
498   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,((PetscObject)mat)->comm);CHKERRQ(ierr);
499   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(((PetscObject)mat)->comm,PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
500   mat->insertmode = addv; /* in case this processor had no cache */
501 
502   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
503   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
504   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
505   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
506   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
507   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
508   PetscFunctionReturn(0);
509 }
510 
511 #undef __FUNCT__
512 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
513 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
514 {
515   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
516   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)baij->A->data;
517   PetscErrorCode ierr;
518   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
519   PetscInt       *row,*col;
520   PetscBool      other_disassembled;
521   PetscMPIInt    n;
522   PetscBool      r1,r2,r3;
523   MatScalar      *val;
524   InsertMode     addv = mat->insertmode;
525 
526   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
527   PetscFunctionBegin;
528 
529   if (!baij->donotstash &&  !mat->nooffprocentries) {
530     while (1) {
531       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
532       if (!flg) break;
533 
534       for (i=0; i<n;) {
535         /* Now identify the consecutive vals belonging to the same row */
536         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
537         if (j < n) ncols = j-i;
538         else       ncols = n-i;
539         /* Now assemble all these values with a single function call */
540         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
541         i = j;
542       }
543     }
544     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
545     /* Now process the block-stash. Since the values are stashed column-oriented,
546        set the roworiented flag to column oriented, and after MatSetValues()
547        restore the original flags */
548     r1 = baij->roworiented;
549     r2 = a->roworiented;
550     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
551     baij->roworiented = PETSC_FALSE;
552     a->roworiented    = PETSC_FALSE;
553     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = PETSC_FALSE; /* b->roworinted */
554     while (1) {
555       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
556       if (!flg) break;
557 
558       for (i=0; i<n;) {
559         /* Now identify the consecutive vals belonging to the same row */
560         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
561         if (j < n) ncols = j-i;
562         else       ncols = n-i;
563         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
564         i = j;
565       }
566     }
567     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
568     baij->roworiented = r1;
569     a->roworiented    = r2;
570     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = r3; /* b->roworinted */
571   }
572 
573   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
574   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
575 
576   /* determine if any processor has disassembled, if so we must
577      also disassemble ourselfs, in order that we may reassemble. */
578   /*
579      if nonzero structure of submatrix B cannot change then we know that
580      no processor disassembled thus we can skip this stuff
581   */
582   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew)  {
583     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,((PetscObject)mat)->comm);CHKERRQ(ierr);
584     if (mat->was_assembled && !other_disassembled) {
585       ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
586     }
587   }
588 
589   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
590     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
591   }
592   ierr = MatSetOption(baij->B,MAT_CHECK_COMPRESSED_ROW,PETSC_TRUE);CHKERRQ(ierr);
593   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
594   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
595 
596   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
597   baij->rowvalues = 0;
598 
599   PetscFunctionReturn(0);
600 }
601 
602 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
603 #undef __FUNCT__
604 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
605 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
606 {
607   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
608   PetscErrorCode    ierr;
609   PetscInt          bs = mat->rmap->bs;
610   PetscMPIInt       size = baij->size,rank = baij->rank;
611   PetscBool         iascii,isdraw;
612   PetscViewer       sviewer;
613   PetscViewerFormat format;
614 
615   PetscFunctionBegin;
616   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
617   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
618   if (iascii) {
619     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
620     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
621       MatInfo info;
622       ierr = MPI_Comm_rank(((PetscObject)mat)->comm,&rank);CHKERRQ(ierr);
623       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
624       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
625       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
626       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
627       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
628       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
629       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
630       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
631       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
632       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
633       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
634       PetscFunctionReturn(0);
635     } else if (format == PETSC_VIEWER_ASCII_INFO) {
636       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
637       PetscFunctionReturn(0);
638     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
639       PetscFunctionReturn(0);
640     }
641   }
642 
643   if (isdraw) {
644     PetscDraw  draw;
645     PetscBool  isnull;
646     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
647     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
648   }
649 
650   if (size == 1) {
651     ierr = PetscObjectSetName((PetscObject)baij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
652     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
653   } else {
654     /* assemble the entire matrix onto first processor. */
655     Mat          A;
656     Mat_SeqSBAIJ *Aloc;
657     Mat_SeqBAIJ  *Bloc;
658     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
659     MatScalar    *a;
660 
661     /* Should this be the same type as mat? */
662     ierr = MatCreate(((PetscObject)mat)->comm,&A);CHKERRQ(ierr);
663     if (!rank) {
664       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
665     } else {
666       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
667     }
668     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
669     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
670     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
671     ierr = PetscLogObjectParent(mat,A);CHKERRQ(ierr);
672 
673     /* copy over the A part */
674     Aloc  = (Mat_SeqSBAIJ*)baij->A->data;
675     ai    = Aloc->i; aj = Aloc->j; a = Aloc->a;
676     ierr  = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
677 
678     for (i=0; i<mbs; i++) {
679       rvals[0] = bs*(baij->rstartbs + i);
680       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
681       for (j=ai[i]; j<ai[i+1]; j++) {
682         col = (baij->cstartbs+aj[j])*bs;
683         for (k=0; k<bs; k++) {
684           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
685           col++; a += bs;
686         }
687       }
688     }
689     /* copy over the B part */
690     Bloc = (Mat_SeqBAIJ*)baij->B->data;
691     ai = Bloc->i; aj = Bloc->j; a = Bloc->a;
692     for (i=0; i<mbs; i++) {
693 
694       rvals[0] = bs*(baij->rstartbs + i);
695       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
696       for (j=ai[i]; j<ai[i+1]; j++) {
697         col = baij->garray[aj[j]]*bs;
698         for (k=0; k<bs; k++) {
699           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
700           col++; a += bs;
701         }
702       }
703     }
704     ierr = PetscFree(rvals);CHKERRQ(ierr);
705     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
706     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
707     /*
708        Everyone has to call to draw the matrix since the graphics waits are
709        synchronized across all processors that share the PetscDraw object
710     */
711     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
712     if (!rank) {
713       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
714           /* Set the type name to MATMPISBAIJ so that the correct type can be printed out by PetscObjectPrintClassNamePrefixType() in MatView_SeqSBAIJ_ASCII()*/
715       PetscStrcpy(((PetscObject)((Mat_MPISBAIJ*)(A->data))->A)->type_name,MATMPISBAIJ);
716       ierr = MatView(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
717     }
718     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
719     ierr = MatDestroy(&A);CHKERRQ(ierr);
720   }
721   PetscFunctionReturn(0);
722 }
723 
724 #undef __FUNCT__
725 #define __FUNCT__ "MatView_MPISBAIJ"
726 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
727 {
728   PetscErrorCode ierr;
729   PetscBool      iascii,isdraw,issocket,isbinary;
730 
731   PetscFunctionBegin;
732   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
733   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
734   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
735   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
736   if (iascii || isdraw || issocket || isbinary) {
737     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
738   } else {
739     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Viewer type %s not supported by MPISBAIJ matrices",((PetscObject)viewer)->type_name);
740   }
741   PetscFunctionReturn(0);
742 }
743 
744 #undef __FUNCT__
745 #define __FUNCT__ "MatDestroy_MPISBAIJ"
746 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
747 {
748   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
749   PetscErrorCode ierr;
750 
751   PetscFunctionBegin;
752 #if defined(PETSC_USE_LOG)
753   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
754 #endif
755   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
756   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
757   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
758   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
759 #if defined (PETSC_USE_CTABLE)
760   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
761 #else
762   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
763 #endif
764   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
765   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
766   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
767   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
768   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
769   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
770   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
771   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
772   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
773   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
774   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
775   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
776   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
777   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
778   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
779 #if defined(PETSC_USE_REAL_MAT_SINGLE)
780   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
781 #endif
782   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
783   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
784   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
785   ierr = PetscFree(mat->data);CHKERRQ(ierr);
786 
787   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
788   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
789   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
790   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C","",PETSC_NULL);CHKERRQ(ierr);
791   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
792   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C","",PETSC_NULL);CHKERRQ(ierr);
793   PetscFunctionReturn(0);
794 }
795 
796 #undef __FUNCT__
797 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
798 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
799 {
800   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
801   PetscErrorCode ierr;
802   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
803   PetscScalar    *x,*from;
804 
805   PetscFunctionBegin;
806   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
807   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
808 
809   /* diagonal part */
810   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
811   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
812 
813   /* subdiagonal part */
814   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
815 
816   /* copy x into the vec slvec0 */
817   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
818   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
819 
820   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
821   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
822   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
823 
824   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
825   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
826   /* supperdiagonal part */
827   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
828   PetscFunctionReturn(0);
829 }
830 
831 #undef __FUNCT__
832 #define __FUNCT__ "MatMult_MPISBAIJ"
833 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
834 {
835   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
836   PetscErrorCode ierr;
837   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
838   PetscScalar    *x,*from;
839 
840   PetscFunctionBegin;
841   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
842   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
843 
844   /* diagonal part */
845   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
846   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
847 
848   /* subdiagonal part */
849   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
850 
851   /* copy x into the vec slvec0 */
852   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
853   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
854 
855   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
856   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
857   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
858 
859   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
860   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
861   /* supperdiagonal part */
862   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
863   PetscFunctionReturn(0);
864 }
865 
866 #undef __FUNCT__
867 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
868 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
869 {
870   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
871   PetscErrorCode ierr;
872   PetscInt       nt;
873 
874   PetscFunctionBegin;
875   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
876   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
877 
878   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
879   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
880 
881   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
882   /* do diagonal part */
883   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
884   /* do supperdiagonal part */
885   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
886   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
887   /* do subdiagonal part */
888   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
889   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
890   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
891 
892   PetscFunctionReturn(0);
893 }
894 
895 #undef __FUNCT__
896 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
897 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
898 {
899   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
900   PetscErrorCode ierr;
901   PetscInt       mbs=a->mbs,bs=A->rmap->bs;
902   PetscScalar    *x,*from,zero=0.0;
903 
904   PetscFunctionBegin;
905   /*
906   PetscSynchronizedPrintf(((PetscObject)A)->comm," MatMultAdd is called ...\n");
907   PetscSynchronizedFlush(((PetscObject)A)->comm);
908   */
909   /* diagonal part */
910   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
911   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
912 
913   /* subdiagonal part */
914   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
915 
916   /* copy x into the vec slvec0 */
917   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
918   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
919   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
920   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
921 
922   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
923   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
924   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
925 
926   /* supperdiagonal part */
927   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
928 
929   PetscFunctionReturn(0);
930 }
931 
932 #undef __FUNCT__
933 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
934 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
935 {
936   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
937   PetscErrorCode ierr;
938 
939   PetscFunctionBegin;
940   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
941   /* do diagonal part */
942   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
943   /* do supperdiagonal part */
944   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
945   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
946 
947   /* do subdiagonal part */
948   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
949   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
950   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
951 
952   PetscFunctionReturn(0);
953 }
954 
955 /*
956   This only works correctly for square matrices where the subblock A->A is the
957    diagonal block
958 */
959 #undef __FUNCT__
960 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
961 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
962 {
963   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
964   PetscErrorCode ierr;
965 
966   PetscFunctionBegin;
967   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
968   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
969   PetscFunctionReturn(0);
970 }
971 
972 #undef __FUNCT__
973 #define __FUNCT__ "MatScale_MPISBAIJ"
974 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
975 {
976   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
977   PetscErrorCode ierr;
978 
979   PetscFunctionBegin;
980   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
981   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
982   PetscFunctionReturn(0);
983 }
984 
985 #undef __FUNCT__
986 #define __FUNCT__ "MatGetRow_MPISBAIJ"
987 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
988 {
989   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
990   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
991   PetscErrorCode ierr;
992   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
993   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
994   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
995 
996   PetscFunctionBegin;
997   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
998   mat->getrowactive = PETSC_TRUE;
999 
1000   if (!mat->rowvalues && (idx || v)) {
1001     /*
1002         allocate enough space to hold information from the longest row.
1003     */
1004     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1005     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1006     PetscInt     max = 1,mbs = mat->mbs,tmp;
1007     for (i=0; i<mbs; i++) {
1008       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1009       if (max < tmp) { max = tmp; }
1010     }
1011     ierr = PetscMalloc2(max*bs2,PetscScalar,&mat->rowvalues,max*bs2,PetscInt,&mat->rowindices);CHKERRQ(ierr);
1012   }
1013 
1014   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1015   lrow = row - brstart;  /* local row index */
1016 
1017   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1018   if (!v)   {pvA = 0; pvB = 0;}
1019   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1020   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1021   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1022   nztot = nzA + nzB;
1023 
1024   cmap  = mat->garray;
1025   if (v  || idx) {
1026     if (nztot) {
1027       /* Sort by increasing column numbers, assuming A and B already sorted */
1028       PetscInt imark = -1;
1029       if (v) {
1030         *v = v_p = mat->rowvalues;
1031         for (i=0; i<nzB; i++) {
1032           if (cmap[cworkB[i]/bs] < cstart)   v_p[i] = vworkB[i];
1033           else break;
1034         }
1035         imark = i;
1036         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1037         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1038       }
1039       if (idx) {
1040         *idx = idx_p = mat->rowindices;
1041         if (imark > -1) {
1042           for (i=0; i<imark; i++) {
1043             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1044           }
1045         } else {
1046           for (i=0; i<nzB; i++) {
1047             if (cmap[cworkB[i]/bs] < cstart)
1048               idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1049             else break;
1050           }
1051           imark = i;
1052         }
1053         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1054         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1055       }
1056     } else {
1057       if (idx) *idx = 0;
1058       if (v)   *v   = 0;
1059     }
1060   }
1061   *nz = nztot;
1062   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1063   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1064   PetscFunctionReturn(0);
1065 }
1066 
1067 #undef __FUNCT__
1068 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1069 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1070 {
1071   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1072 
1073   PetscFunctionBegin;
1074   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1075   baij->getrowactive = PETSC_FALSE;
1076   PetscFunctionReturn(0);
1077 }
1078 
1079 #undef __FUNCT__
1080 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1081 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1082 {
1083   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1084   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1085 
1086   PetscFunctionBegin;
1087   aA->getrow_utriangular = PETSC_TRUE;
1088   PetscFunctionReturn(0);
1089 }
1090 #undef __FUNCT__
1091 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1092 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1093 {
1094   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1095   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1096 
1097   PetscFunctionBegin;
1098   aA->getrow_utriangular = PETSC_FALSE;
1099   PetscFunctionReturn(0);
1100 }
1101 
1102 #undef __FUNCT__
1103 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1104 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1105 {
1106   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1107   PetscErrorCode ierr;
1108 
1109   PetscFunctionBegin;
1110   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1111   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1112   PetscFunctionReturn(0);
1113 }
1114 
1115 #undef __FUNCT__
1116 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1117 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1118 {
1119   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1120   PetscErrorCode ierr;
1121 
1122   PetscFunctionBegin;
1123   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1124   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1125   PetscFunctionReturn(0);
1126 }
1127 
1128 #undef __FUNCT__
1129 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1130 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1131 {
1132   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1133   PetscErrorCode ierr;
1134 
1135   PetscFunctionBegin;
1136   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1137   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1138   PetscFunctionReturn(0);
1139 }
1140 
1141 #undef __FUNCT__
1142 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1143 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1144 {
1145   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1146   Mat            A = a->A,B = a->B;
1147   PetscErrorCode ierr;
1148   PetscReal      isend[5],irecv[5];
1149 
1150   PetscFunctionBegin;
1151   info->block_size     = (PetscReal)matin->rmap->bs;
1152   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1153   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1154   isend[3] = info->memory;  isend[4] = info->mallocs;
1155   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1156   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1157   isend[3] += info->memory;  isend[4] += info->mallocs;
1158   if (flag == MAT_LOCAL) {
1159     info->nz_used      = isend[0];
1160     info->nz_allocated = isend[1];
1161     info->nz_unneeded  = isend[2];
1162     info->memory       = isend[3];
1163     info->mallocs      = isend[4];
1164   } else if (flag == MAT_GLOBAL_MAX) {
1165     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,((PetscObject)matin)->comm);CHKERRQ(ierr);
1166     info->nz_used      = irecv[0];
1167     info->nz_allocated = irecv[1];
1168     info->nz_unneeded  = irecv[2];
1169     info->memory       = irecv[3];
1170     info->mallocs      = irecv[4];
1171   } else if (flag == MAT_GLOBAL_SUM) {
1172     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,((PetscObject)matin)->comm);CHKERRQ(ierr);
1173     info->nz_used      = irecv[0];
1174     info->nz_allocated = irecv[1];
1175     info->nz_unneeded  = irecv[2];
1176     info->memory       = irecv[3];
1177     info->mallocs      = irecv[4];
1178   } else {
1179     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1180   }
1181   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1182   info->fill_ratio_needed = 0;
1183   info->factor_mallocs    = 0;
1184   PetscFunctionReturn(0);
1185 }
1186 
1187 #undef __FUNCT__
1188 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1189 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool  flg)
1190 {
1191   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1192   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1193   PetscErrorCode ierr;
1194 
1195   PetscFunctionBegin;
1196   switch (op) {
1197   case MAT_NEW_NONZERO_LOCATIONS:
1198   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1199   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1200   case MAT_KEEP_NONZERO_PATTERN:
1201   case MAT_NEW_NONZERO_LOCATION_ERR:
1202     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1203     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1204     break;
1205   case MAT_ROW_ORIENTED:
1206     a->roworiented = flg;
1207     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1208     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1209     break;
1210   case MAT_NEW_DIAGONALS:
1211     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1212     break;
1213   case MAT_IGNORE_OFF_PROC_ENTRIES:
1214     a->donotstash = flg;
1215     break;
1216   case MAT_USE_HASH_TABLE:
1217     a->ht_flag = flg;
1218     break;
1219   case MAT_HERMITIAN:
1220     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
1221     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1222     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1223     break;
1224   case MAT_SPD:
1225     A->spd_set                         = PETSC_TRUE;
1226     A->spd                             = flg;
1227     if (flg) {
1228       A->symmetric                     = PETSC_TRUE;
1229       A->structurally_symmetric        = PETSC_TRUE;
1230       A->symmetric_set                 = PETSC_TRUE;
1231       A->structurally_symmetric_set    = PETSC_TRUE;
1232     }
1233     break;
1234   case MAT_SYMMETRIC:
1235     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1236     break;
1237   case MAT_STRUCTURALLY_SYMMETRIC:
1238     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1239     break;
1240   case MAT_SYMMETRY_ETERNAL:
1241     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
1242     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1243     break;
1244   case MAT_IGNORE_LOWER_TRIANGULAR:
1245     aA->ignore_ltriangular = flg;
1246     break;
1247   case MAT_ERROR_LOWER_TRIANGULAR:
1248     aA->ignore_ltriangular = flg;
1249     break;
1250   case MAT_GETROW_UPPERTRIANGULAR:
1251     aA->getrow_utriangular = flg;
1252     break;
1253   default:
1254     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1255   }
1256   PetscFunctionReturn(0);
1257 }
1258 
1259 #undef __FUNCT__
1260 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1261 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1262 {
1263   PetscErrorCode ierr;
1264   PetscFunctionBegin;
1265   if (MAT_INITIAL_MATRIX || *B != A) {
1266     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1267   }
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 #undef __FUNCT__
1272 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1273 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1274 {
1275   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1276   Mat            a=baij->A, b=baij->B;
1277   PetscErrorCode ierr;
1278   PetscInt       nv,m,n;
1279   PetscBool      flg;
1280 
1281   PetscFunctionBegin;
1282   if (ll != rr){
1283     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1284     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1285   }
1286   if (!ll) PetscFunctionReturn(0);
1287 
1288   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1289   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1290 
1291   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1292   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1293 
1294   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1295 
1296   /* left diagonalscale the off-diagonal part */
1297   ierr = (*b->ops->diagonalscale)(b,ll,PETSC_NULL);CHKERRQ(ierr);
1298 
1299   /* scale the diagonal part */
1300   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1301 
1302   /* right diagonalscale the off-diagonal part */
1303   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1304   ierr = (*b->ops->diagonalscale)(b,PETSC_NULL,baij->lvec);CHKERRQ(ierr);
1305   PetscFunctionReturn(0);
1306 }
1307 
1308 #undef __FUNCT__
1309 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1310 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1311 {
1312   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1313   PetscErrorCode ierr;
1314 
1315   PetscFunctionBegin;
1316   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1317   PetscFunctionReturn(0);
1318 }
1319 
1320 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat *);
1321 
1322 #undef __FUNCT__
1323 #define __FUNCT__ "MatEqual_MPISBAIJ"
1324 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
1325 {
1326   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1327   Mat            a,b,c,d;
1328   PetscBool      flg;
1329   PetscErrorCode ierr;
1330 
1331   PetscFunctionBegin;
1332   a = matA->A; b = matA->B;
1333   c = matB->A; d = matB->B;
1334 
1335   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1336   if (flg) {
1337     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1338   }
1339   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,((PetscObject)A)->comm);CHKERRQ(ierr);
1340   PetscFunctionReturn(0);
1341 }
1342 
1343 #undef __FUNCT__
1344 #define __FUNCT__ "MatCopy_MPISBAIJ"
1345 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1346 {
1347   PetscErrorCode ierr;
1348   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ *)A->data;
1349   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ *)B->data;
1350 
1351   PetscFunctionBegin;
1352   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1353   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1354     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1355     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1356     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1357   } else {
1358     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1359     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1360   }
1361   PetscFunctionReturn(0);
1362 }
1363 
1364 #undef __FUNCT__
1365 #define __FUNCT__ "MatSetUpPreallocation_MPISBAIJ"
1366 PetscErrorCode MatSetUpPreallocation_MPISBAIJ(Mat A)
1367 {
1368   PetscErrorCode ierr;
1369 
1370   PetscFunctionBegin;
1371   ierr = MatMPISBAIJSetPreallocation(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1372   PetscFunctionReturn(0);
1373 }
1374 
1375 #undef __FUNCT__
1376 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1377 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1378 {
1379   PetscErrorCode ierr;
1380   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ *)X->data,*yy=(Mat_MPISBAIJ *)Y->data;
1381   PetscBLASInt   bnz,one=1;
1382   Mat_SeqSBAIJ   *xa,*ya;
1383   Mat_SeqBAIJ    *xb,*yb;
1384 
1385   PetscFunctionBegin;
1386   if (str == SAME_NONZERO_PATTERN) {
1387     PetscScalar alpha = a;
1388     xa = (Mat_SeqSBAIJ *)xx->A->data;
1389     ya = (Mat_SeqSBAIJ *)yy->A->data;
1390     bnz = PetscBLASIntCast(xa->nz);
1391     BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one);
1392     xb = (Mat_SeqBAIJ *)xx->B->data;
1393     yb = (Mat_SeqBAIJ *)yy->B->data;
1394     bnz = PetscBLASIntCast(xb->nz);
1395     BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one);
1396   } else {
1397     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1398     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1399     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1400   }
1401   PetscFunctionReturn(0);
1402 }
1403 
1404 #undef __FUNCT__
1405 #define __FUNCT__ "MatSetBlockSize_MPISBAIJ"
1406 PetscErrorCode MatSetBlockSize_MPISBAIJ(Mat A,PetscInt bs)
1407 {
1408   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1409   PetscInt        rbs,cbs;
1410   PetscErrorCode  ierr;
1411 
1412   PetscFunctionBegin;
1413   ierr = MatSetBlockSize(a->A,bs);CHKERRQ(ierr);
1414   ierr = MatSetBlockSize(a->B,bs);CHKERRQ(ierr);
1415   ierr = PetscLayoutGetBlockSize(A->rmap,&rbs);CHKERRQ(ierr);
1416   ierr = PetscLayoutGetBlockSize(A->cmap,&cbs);CHKERRQ(ierr);
1417   if (rbs != bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with SBAIJ %d",bs,rbs);
1418   if (cbs != bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with SBAIJ %d",bs,cbs);
1419   PetscFunctionReturn(0);
1420 }
1421 
1422 #undef __FUNCT__
1423 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1424 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1425 {
1426   PetscErrorCode ierr;
1427   PetscInt       i;
1428   PetscBool      flg;
1429 
1430   PetscFunctionBegin;
1431   for (i=0; i<n; i++) {
1432     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1433     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only get symmetric submatrix for MPISBAIJ matrices");
1434   }
1435   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1436   PetscFunctionReturn(0);
1437 }
1438 
1439 
1440 /* -------------------------------------------------------------------*/
1441 static struct _MatOps MatOps_Values = {
1442        MatSetValues_MPISBAIJ,
1443        MatGetRow_MPISBAIJ,
1444        MatRestoreRow_MPISBAIJ,
1445        MatMult_MPISBAIJ,
1446 /* 4*/ MatMultAdd_MPISBAIJ,
1447        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1448        MatMultAdd_MPISBAIJ,
1449        0,
1450        0,
1451        0,
1452 /*10*/ 0,
1453        0,
1454        0,
1455        MatSOR_MPISBAIJ,
1456        MatTranspose_MPISBAIJ,
1457 /*15*/ MatGetInfo_MPISBAIJ,
1458        MatEqual_MPISBAIJ,
1459        MatGetDiagonal_MPISBAIJ,
1460        MatDiagonalScale_MPISBAIJ,
1461        MatNorm_MPISBAIJ,
1462 /*20*/ MatAssemblyBegin_MPISBAIJ,
1463        MatAssemblyEnd_MPISBAIJ,
1464        MatSetOption_MPISBAIJ,
1465        MatZeroEntries_MPISBAIJ,
1466 /*24*/ 0,
1467        0,
1468        0,
1469        0,
1470        0,
1471 /*29*/ MatSetUpPreallocation_MPISBAIJ,
1472        0,
1473        0,
1474        0,
1475        0,
1476 /*34*/ MatDuplicate_MPISBAIJ,
1477        0,
1478        0,
1479        0,
1480        0,
1481 /*39*/ MatAXPY_MPISBAIJ,
1482        MatGetSubMatrices_MPISBAIJ,
1483        MatIncreaseOverlap_MPISBAIJ,
1484        MatGetValues_MPISBAIJ,
1485        MatCopy_MPISBAIJ,
1486 /*44*/ 0,
1487        MatScale_MPISBAIJ,
1488        0,
1489        0,
1490        0,
1491 /*49*/ MatSetBlockSize_MPISBAIJ,
1492        0,
1493        0,
1494        0,
1495        0,
1496 /*54*/ 0,
1497        0,
1498        MatSetUnfactored_MPISBAIJ,
1499        0,
1500        MatSetValuesBlocked_MPISBAIJ,
1501 /*59*/ 0,
1502        0,
1503        0,
1504        0,
1505        0,
1506 /*64*/ 0,
1507        0,
1508        0,
1509        0,
1510        0,
1511 /*69*/ MatGetRowMaxAbs_MPISBAIJ,
1512        0,
1513        0,
1514        0,
1515        0,
1516 /*74*/ 0,
1517        0,
1518        0,
1519        0,
1520        0,
1521 /*79*/ 0,
1522        0,
1523        0,
1524        0,
1525        MatLoad_MPISBAIJ,
1526 /*84*/ 0,
1527        0,
1528        0,
1529        0,
1530        0,
1531 /*89*/ 0,
1532        0,
1533        0,
1534        0,
1535        0,
1536 /*94*/ 0,
1537        0,
1538        0,
1539        0,
1540        0,
1541 /*99*/ 0,
1542        0,
1543        0,
1544        0,
1545        0,
1546 /*104*/0,
1547        MatRealPart_MPISBAIJ,
1548        MatImaginaryPart_MPISBAIJ,
1549        MatGetRowUpperTriangular_MPISBAIJ,
1550        MatRestoreRowUpperTriangular_MPISBAIJ,
1551 /*109*/0,
1552        0,
1553        0,
1554        0,
1555        0,
1556 /*114*/0,
1557        0,
1558        0,
1559        0,
1560        0,
1561 /*119*/0,
1562        0,
1563        0,
1564        0
1565 };
1566 
1567 
1568 EXTERN_C_BEGIN
1569 #undef __FUNCT__
1570 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1571 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1572 {
1573   PetscFunctionBegin;
1574   *a = ((Mat_MPISBAIJ *)A->data)->A;
1575   PetscFunctionReturn(0);
1576 }
1577 EXTERN_C_END
1578 
1579 EXTERN_C_BEGIN
1580 #undef __FUNCT__
1581 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1582 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,PetscInt *d_nnz,PetscInt o_nz,PetscInt *o_nnz)
1583 {
1584   Mat_MPISBAIJ   *b;
1585   PetscErrorCode ierr;
1586   PetscInt       i,mbs,Mbs,newbs = PetscAbs(bs);
1587 
1588   PetscFunctionBegin;
1589   if (bs < 0){
1590     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for MPISBAIJ matrix","Mat");CHKERRQ(ierr);
1591       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatMPIBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
1592     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1593     bs   = PetscAbs(bs);
1594   }
1595   if ((d_nnz || o_nnz) && newbs != bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting d_nnz or o_nnz");
1596   bs = newbs;
1597 
1598   if (d_nz == PETSC_DECIDE || d_nz == PETSC_DEFAULT) d_nz = 3;
1599   if (o_nz == PETSC_DECIDE || o_nz == PETSC_DEFAULT) o_nz = 1;
1600   if (d_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %D",d_nz);
1601   if (o_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %D",o_nz);
1602 
1603   B->rmap->bs = B->cmap->bs = bs;
1604   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1605   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1606 
1607   if (d_nnz) {
1608     for (i=0; i<B->rmap->n/bs; i++) {
1609       if (d_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than -1: local row %D value %D",i,d_nnz[i]);
1610     }
1611   }
1612   if (o_nnz) {
1613     for (i=0; i<B->rmap->n/bs; i++) {
1614       if (o_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than -1: local row %D value %D",i,o_nnz[i]);
1615     }
1616   }
1617 
1618   b   = (Mat_MPISBAIJ*)B->data;
1619   mbs = B->rmap->n/bs;
1620   Mbs = B->rmap->N/bs;
1621   if (mbs*bs != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"No of local rows %D must be divisible by blocksize %D",B->rmap->N,bs);
1622 
1623   B->rmap->bs  = bs;
1624   b->bs2 = bs*bs;
1625   b->mbs = mbs;
1626   b->nbs = mbs;
1627   b->Mbs = Mbs;
1628   b->Nbs = Mbs;
1629 
1630   for (i=0; i<=b->size; i++) {
1631     b->rangebs[i] = B->rmap->range[i]/bs;
1632   }
1633   b->rstartbs = B->rmap->rstart/bs;
1634   b->rendbs   = B->rmap->rend/bs;
1635 
1636   b->cstartbs = B->cmap->rstart/bs;
1637   b->cendbs   = B->cmap->rend/bs;
1638 
1639   if (!B->preallocated) {
1640     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1641     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1642     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1643     ierr = PetscLogObjectParent(B,b->A);CHKERRQ(ierr);
1644     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1645     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1646     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1647     ierr = PetscLogObjectParent(B,b->B);CHKERRQ(ierr);
1648     ierr = MatStashCreate_Private(((PetscObject)B)->comm,bs,&B->bstash);CHKERRQ(ierr);
1649   }
1650 
1651   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1652   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1653   B->preallocated = PETSC_TRUE;
1654   ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1655   PetscFunctionReturn(0);
1656 }
1657 EXTERN_C_END
1658 
1659 EXTERN_C_BEGIN
1660 #undef __FUNCT__
1661 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1662 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1663 {
1664   PetscInt       m,rstart,cstart,cend;
1665   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1666   const PetscInt *JJ=0;
1667   PetscScalar    *values=0;
1668   PetscErrorCode ierr;
1669 
1670   PetscFunctionBegin;
1671 
1672   if (bs < 1) SETERRQ1(((PetscObject)B)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1673   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1674   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1675   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1676   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1677   m      = B->rmap->n/bs;
1678   rstart = B->rmap->rstart/bs;
1679   cstart = B->cmap->rstart/bs;
1680   cend   = B->cmap->rend/bs;
1681 
1682   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1683   ierr  = PetscMalloc2(m,PetscInt,&d_nnz,m,PetscInt,&o_nnz);CHKERRQ(ierr);
1684   for (i=0; i<m; i++) {
1685     nz = ii[i+1] - ii[i];
1686     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1687     nz_max = PetscMax(nz_max,nz);
1688     JJ  = jj + ii[i];
1689     for (j=0; j<nz; j++) {
1690       if (*JJ >= cstart) break;
1691       JJ++;
1692     }
1693     d = 0;
1694     for (; j<nz; j++) {
1695       if (*JJ++ >= cend) break;
1696       d++;
1697     }
1698     d_nnz[i] = d;
1699     o_nnz[i] = nz - d;
1700   }
1701   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
1702   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
1703 
1704   values = (PetscScalar*)V;
1705   if (!values) {
1706     ierr = PetscMalloc(bs*bs*nz_max*sizeof(PetscScalar),&values);CHKERRQ(ierr);
1707     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
1708   }
1709   for (i=0; i<m; i++) {
1710     PetscInt          row    = i + rstart;
1711     PetscInt          ncols  = ii[i+1] - ii[i];
1712     const PetscInt    *icols = jj + ii[i];
1713     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
1714     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
1715   }
1716 
1717   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
1718   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1719   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1720   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1721   PetscFunctionReturn(0);
1722 }
1723 EXTERN_C_END
1724 
1725 EXTERN_C_BEGIN
1726 #if defined(PETSC_HAVE_MUMPS)
1727 extern PetscErrorCode  MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1728 #endif
1729 #if defined(PETSC_HAVE_SPOOLES)
1730 extern PetscErrorCode  MatGetFactor_mpisbaij_spooles(Mat,MatFactorType,Mat*);
1731 #endif
1732 #if defined(PETSC_HAVE_PASTIX)
1733 extern PetscErrorCode MatGetFactor_mpisbaij_pastix(Mat,MatFactorType,Mat*);
1734 #endif
1735 EXTERN_C_END
1736 
1737 /*MC
1738    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
1739    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
1740    the matrix is stored.
1741 
1742   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1743   can call MatSetOption(Mat, MAT_HERMITIAN);
1744 
1745    Options Database Keys:
1746 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
1747 
1748   Level: beginner
1749 
1750 .seealso: MatCreateMPISBAIJ
1751 M*/
1752 
1753 EXTERN_C_BEGIN
1754 extern PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,const MatType,MatReuse,Mat*);
1755 EXTERN_C_END
1756 
1757 EXTERN_C_BEGIN
1758 #undef __FUNCT__
1759 #define __FUNCT__ "MatCreate_MPISBAIJ"
1760 PetscErrorCode  MatCreate_MPISBAIJ(Mat B)
1761 {
1762   Mat_MPISBAIJ   *b;
1763   PetscErrorCode ierr;
1764   PetscBool      flg;
1765 
1766   PetscFunctionBegin;
1767 
1768   ierr    = PetscNewLog(B,Mat_MPISBAIJ,&b);CHKERRQ(ierr);
1769   B->data = (void*)b;
1770   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1771 
1772   B->ops->destroy    = MatDestroy_MPISBAIJ;
1773   B->ops->view       = MatView_MPISBAIJ;
1774   B->assembled       = PETSC_FALSE;
1775 
1776   B->insertmode = NOT_SET_VALUES;
1777   ierr = MPI_Comm_rank(((PetscObject)B)->comm,&b->rank);CHKERRQ(ierr);
1778   ierr = MPI_Comm_size(((PetscObject)B)->comm,&b->size);CHKERRQ(ierr);
1779 
1780   /* build local table of row and column ownerships */
1781   ierr  = PetscMalloc((b->size+2)*sizeof(PetscInt),&b->rangebs);CHKERRQ(ierr);
1782 
1783   /* build cache for off array entries formed */
1784   ierr = MatStashCreate_Private(((PetscObject)B)->comm,1,&B->stash);CHKERRQ(ierr);
1785   b->donotstash  = PETSC_FALSE;
1786   b->colmap      = PETSC_NULL;
1787   b->garray      = PETSC_NULL;
1788   b->roworiented = PETSC_TRUE;
1789 
1790   /* stuff used in block assembly */
1791   b->barray       = 0;
1792 
1793   /* stuff used for matrix vector multiply */
1794   b->lvec         = 0;
1795   b->Mvctx        = 0;
1796   b->slvec0       = 0;
1797   b->slvec0b      = 0;
1798   b->slvec1       = 0;
1799   b->slvec1a      = 0;
1800   b->slvec1b      = 0;
1801   b->sMvctx       = 0;
1802 
1803   /* stuff for MatGetRow() */
1804   b->rowindices   = 0;
1805   b->rowvalues    = 0;
1806   b->getrowactive = PETSC_FALSE;
1807 
1808   /* hash table stuff */
1809   b->ht           = 0;
1810   b->hd           = 0;
1811   b->ht_size      = 0;
1812   b->ht_flag      = PETSC_FALSE;
1813   b->ht_fact      = 0;
1814   b->ht_total_ct  = 0;
1815   b->ht_insert_ct = 0;
1816 
1817   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
1818   b->ijonly       = PETSC_FALSE;
1819 
1820   b->in_loc       = 0;
1821   b->v_loc        = 0;
1822   b->n_loc        = 0;
1823   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
1824     ierr = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
1825     if (flg) {
1826       PetscReal fact = 1.39;
1827       ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
1828       ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,PETSC_NULL);CHKERRQ(ierr);
1829       if (fact <= 1.0) fact = 1.39;
1830       ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1831       ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
1832     }
1833   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1834 
1835 #if defined(PETSC_HAVE_PASTIX)
1836   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
1837 					   "MatGetFactor_mpisbaij_pastix",
1838 					   MatGetFactor_mpisbaij_pastix);CHKERRQ(ierr);
1839 #endif
1840 #if defined(PETSC_HAVE_MUMPS)
1841   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
1842                                      "MatGetFactor_sbaij_mumps",
1843                                      MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1844 #endif
1845 #if defined(PETSC_HAVE_SPOOLES)
1846   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
1847                                      "MatGetFactor_mpisbaij_spooles",
1848                                      MatGetFactor_mpisbaij_spooles);CHKERRQ(ierr);
1849 #endif
1850   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1851                                      "MatStoreValues_MPISBAIJ",
1852                                      MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1853   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1854                                      "MatRetrieveValues_MPISBAIJ",
1855                                      MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1856   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
1857                                      "MatGetDiagonalBlock_MPISBAIJ",
1858                                      MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1859   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocation_C",
1860                                      "MatMPISBAIJSetPreallocation_MPISBAIJ",
1861                                      MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1862   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",
1863                                      "MatMPISBAIJSetPreallocationCSR_MPISBAIJ",
1864                                      MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
1865   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",
1866                                      "MatConvert_MPISBAIJ_MPISBSTRM",
1867                                       MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
1868 
1869   B->symmetric                  = PETSC_TRUE;
1870   B->structurally_symmetric     = PETSC_TRUE;
1871   B->symmetric_set              = PETSC_TRUE;
1872   B->structurally_symmetric_set = PETSC_TRUE;
1873   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
1874   PetscFunctionReturn(0);
1875 }
1876 EXTERN_C_END
1877 
1878 /*MC
1879    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
1880 
1881    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
1882    and MATMPISBAIJ otherwise.
1883 
1884    Options Database Keys:
1885 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
1886 
1887   Level: beginner
1888 
1889 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
1890 M*/
1891 
1892 #undef __FUNCT__
1893 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1894 /*@C
1895    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1896    the user should preallocate the matrix storage by setting the parameters
1897    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1898    performance can be increased by more than a factor of 50.
1899 
1900    Collective on Mat
1901 
1902    Input Parameters:
1903 +  A - the matrix
1904 .  bs   - size of blockk
1905 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1906            submatrix  (same for all local rows)
1907 .  d_nnz - array containing the number of block nonzeros in the various block rows
1908            in the upper triangular and diagonal part of the in diagonal portion of the local
1909            (possibly different for each block row) or PETSC_NULL.  If you plan to factor the matrix you must leave room
1910            for the diagonal entry and set a value even if it is zero.
1911 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1912            submatrix (same for all local rows).
1913 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1914            off-diagonal portion of the local submatrix that is right of the diagonal
1915            (possibly different for each block row) or PETSC_NULL.
1916 
1917 
1918    Options Database Keys:
1919 .   -mat_no_unroll - uses code that does not unroll the loops in the
1920                      block calculations (much slower)
1921 .   -mat_block_size - size of the blocks to use
1922 
1923    Notes:
1924 
1925    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1926    than it must be used on all processors that share the object for that argument.
1927 
1928    If the *_nnz parameter is given then the *_nz parameter is ignored
1929 
1930    Storage Information:
1931    For a square global matrix we define each processor's diagonal portion
1932    to be its local rows and the corresponding columns (a square submatrix);
1933    each processor's off-diagonal portion encompasses the remainder of the
1934    local matrix (a rectangular submatrix).
1935 
1936    The user can specify preallocated storage for the diagonal part of
1937    the local submatrix with either d_nz or d_nnz (not both).  Set
1938    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1939    memory allocation.  Likewise, specify preallocated storage for the
1940    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1941 
1942    You can call MatGetInfo() to get information on how effective the preallocation was;
1943    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1944    You can also run with the option -info and look for messages with the string
1945    malloc in them to see if additional memory allocation was needed.
1946 
1947    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1948    the figure below we depict these three local rows and all columns (0-11).
1949 
1950 .vb
1951            0 1 2 3 4 5 6 7 8 9 10 11
1952           -------------------
1953    row 3  |  . . . d d d o o o o o o
1954    row 4  |  . . . d d d o o o o o o
1955    row 5  |  . . . d d d o o o o o o
1956           -------------------
1957 .ve
1958 
1959    Thus, any entries in the d locations are stored in the d (diagonal)
1960    submatrix, and any entries in the o locations are stored in the
1961    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1962    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1963 
1964    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1965    plus the diagonal part of the d matrix,
1966    and o_nz should indicate the number of block nonzeros per row in the o matrix
1967 
1968    In general, for PDE problems in which most nonzeros are near the diagonal,
1969    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1970    or you will get TERRIBLE performance; see the users' manual chapter on
1971    matrices.
1972 
1973    Level: intermediate
1974 
1975 .keywords: matrix, block, aij, compressed row, sparse, parallel
1976 
1977 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1978 @*/
1979 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
1980 {
1981   PetscErrorCode ierr;
1982 
1983   PetscFunctionBegin;
1984   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
1985   PetscValidType(B,1);
1986   PetscValidLogicalCollectiveInt(B,bs,2);
1987   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,bs,d_nz,d_nnz,o_nz,o_nnz));CHKERRQ(ierr);
1988   PetscFunctionReturn(0);
1989 }
1990 
1991 #undef __FUNCT__
1992 #define __FUNCT__ "MatCreateMPISBAIJ"
1993 /*@C
1994    MatCreateMPISBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1995    (block compressed row).  For good matrix assembly performance
1996    the user should preallocate the matrix storage by setting the parameters
1997    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1998    performance can be increased by more than a factor of 50.
1999 
2000    Collective on MPI_Comm
2001 
2002    Input Parameters:
2003 +  comm - MPI communicator
2004 .  bs   - size of blockk
2005 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2006            This value should be the same as the local size used in creating the
2007            y vector for the matrix-vector product y = Ax.
2008 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2009            This value should be the same as the local size used in creating the
2010            x vector for the matrix-vector product y = Ax.
2011 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2012 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2013 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2014            submatrix  (same for all local rows)
2015 .  d_nnz - array containing the number of block nonzeros in the various block rows
2016            in the upper triangular portion of the in diagonal portion of the local
2017            (possibly different for each block block row) or PETSC_NULL.
2018            If you plan to factor the matrix you must leave room for the diagonal entry and
2019            set its value even if it is zero.
2020 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2021            submatrix (same for all local rows).
2022 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2023            off-diagonal portion of the local submatrix (possibly different for
2024            each block row) or PETSC_NULL.
2025 
2026    Output Parameter:
2027 .  A - the matrix
2028 
2029    Options Database Keys:
2030 .   -mat_no_unroll - uses code that does not unroll the loops in the
2031                      block calculations (much slower)
2032 .   -mat_block_size - size of the blocks to use
2033 .   -mat_mpi - use the parallel matrix data structures even on one processor
2034                (defaults to using SeqBAIJ format on one processor)
2035 
2036    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2037    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2038    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2039 
2040    Notes:
2041    The number of rows and columns must be divisible by blocksize.
2042    This matrix type does not support complex Hermitian operation.
2043 
2044    The user MUST specify either the local or global matrix dimensions
2045    (possibly both).
2046 
2047    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2048    than it must be used on all processors that share the object for that argument.
2049 
2050    If the *_nnz parameter is given then the *_nz parameter is ignored
2051 
2052    Storage Information:
2053    For a square global matrix we define each processor's diagonal portion
2054    to be its local rows and the corresponding columns (a square submatrix);
2055    each processor's off-diagonal portion encompasses the remainder of the
2056    local matrix (a rectangular submatrix).
2057 
2058    The user can specify preallocated storage for the diagonal part of
2059    the local submatrix with either d_nz or d_nnz (not both).  Set
2060    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
2061    memory allocation.  Likewise, specify preallocated storage for the
2062    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2063 
2064    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2065    the figure below we depict these three local rows and all columns (0-11).
2066 
2067 .vb
2068            0 1 2 3 4 5 6 7 8 9 10 11
2069           -------------------
2070    row 3  |  . . . d d d o o o o o o
2071    row 4  |  . . . d d d o o o o o o
2072    row 5  |  . . . d d d o o o o o o
2073           -------------------
2074 .ve
2075 
2076    Thus, any entries in the d locations are stored in the d (diagonal)
2077    submatrix, and any entries in the o locations are stored in the
2078    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2079    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2080 
2081    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2082    plus the diagonal part of the d matrix,
2083    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2084    In general, for PDE problems in which most nonzeros are near the diagonal,
2085    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2086    or you will get TERRIBLE performance; see the users' manual chapter on
2087    matrices.
2088 
2089    Level: intermediate
2090 
2091 .keywords: matrix, block, aij, compressed row, sparse, parallel
2092 
2093 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
2094 @*/
2095 
2096 PetscErrorCode  MatCreateMPISBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
2097 {
2098   PetscErrorCode ierr;
2099   PetscMPIInt    size;
2100 
2101   PetscFunctionBegin;
2102   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2103   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2104   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2105   if (size > 1) {
2106     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2107     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2108   } else {
2109     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2110     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2111   }
2112   PetscFunctionReturn(0);
2113 }
2114 
2115 
2116 #undef __FUNCT__
2117 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2118 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2119 {
2120   Mat            mat;
2121   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2122   PetscErrorCode ierr;
2123   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2124   PetscScalar    *array;
2125 
2126   PetscFunctionBegin;
2127   *newmat       = 0;
2128   ierr = MatCreate(((PetscObject)matin)->comm,&mat);CHKERRQ(ierr);
2129   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2130   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2131   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2132   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2133   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2134 
2135   mat->factortype   = matin->factortype;
2136   mat->preallocated = PETSC_TRUE;
2137   mat->assembled    = PETSC_TRUE;
2138   mat->insertmode   = NOT_SET_VALUES;
2139 
2140   a = (Mat_MPISBAIJ*)mat->data;
2141   a->bs2   = oldmat->bs2;
2142   a->mbs   = oldmat->mbs;
2143   a->nbs   = oldmat->nbs;
2144   a->Mbs   = oldmat->Mbs;
2145   a->Nbs   = oldmat->Nbs;
2146 
2147 
2148   a->size         = oldmat->size;
2149   a->rank         = oldmat->rank;
2150   a->donotstash   = oldmat->donotstash;
2151   a->roworiented  = oldmat->roworiented;
2152   a->rowindices   = 0;
2153   a->rowvalues    = 0;
2154   a->getrowactive = PETSC_FALSE;
2155   a->barray       = 0;
2156   a->rstartbs    = oldmat->rstartbs;
2157   a->rendbs      = oldmat->rendbs;
2158   a->cstartbs    = oldmat->cstartbs;
2159   a->cendbs      = oldmat->cendbs;
2160 
2161   /* hash table stuff */
2162   a->ht           = 0;
2163   a->hd           = 0;
2164   a->ht_size      = 0;
2165   a->ht_flag      = oldmat->ht_flag;
2166   a->ht_fact      = oldmat->ht_fact;
2167   a->ht_total_ct  = 0;
2168   a->ht_insert_ct = 0;
2169 
2170   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2171   if (oldmat->colmap) {
2172 #if defined (PETSC_USE_CTABLE)
2173     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2174 #else
2175     ierr = PetscMalloc((a->Nbs)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
2176     ierr = PetscLogObjectMemory(mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2177     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2178 #endif
2179   } else a->colmap = 0;
2180 
2181   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2182     ierr = PetscMalloc(len*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
2183     ierr = PetscLogObjectMemory(mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2184     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2185   } else a->garray = 0;
2186 
2187   ierr = MatStashCreate_Private(((PetscObject)matin)->comm,matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2188   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2189   ierr = PetscLogObjectParent(mat,a->lvec);CHKERRQ(ierr);
2190   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2191   ierr = PetscLogObjectParent(mat,a->Mvctx);CHKERRQ(ierr);
2192 
2193   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2194   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2195   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2196   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2197 
2198   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2199   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2200   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2201   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2202   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2203   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2204   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2205   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2206   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2207   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2208   ierr = PetscLogObjectParent(mat,a->slvec0b);CHKERRQ(ierr);
2209   ierr = PetscLogObjectParent(mat,a->slvec1a);CHKERRQ(ierr);
2210   ierr = PetscLogObjectParent(mat,a->slvec1b);CHKERRQ(ierr);
2211 
2212   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2213   ierr = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2214   a->sMvctx = oldmat->sMvctx;
2215   ierr = PetscLogObjectParent(mat,a->sMvctx);CHKERRQ(ierr);
2216 
2217   ierr =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2218   ierr = PetscLogObjectParent(mat,a->A);CHKERRQ(ierr);
2219   ierr =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2220   ierr = PetscLogObjectParent(mat,a->B);CHKERRQ(ierr);
2221   ierr = PetscFListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2222   *newmat = mat;
2223   PetscFunctionReturn(0);
2224 }
2225 
2226 #undef __FUNCT__
2227 #define __FUNCT__ "MatLoad_MPISBAIJ"
2228 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2229 {
2230   PetscErrorCode ierr;
2231   PetscInt       i,nz,j,rstart,rend;
2232   PetscScalar    *vals,*buf;
2233   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2234   MPI_Status     status;
2235   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,*locrowlens,mmbs;
2236   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols;
2237   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2238   PetscInt       bs=1,Mbs,mbs,extra_rows;
2239   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2240   PetscInt       dcount,kmax,k,nzcount,tmp,sizesset=1,grows,gcols;
2241   int            fd;
2242 
2243   PetscFunctionBegin;
2244   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2245     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
2246   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2247 
2248   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2249   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2250   if (!rank) {
2251     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2252     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
2253     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2254     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2255   }
2256 
2257   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
2258 
2259   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2260   M = header[1]; N = header[2];
2261 
2262   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
2263   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
2264   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
2265 
2266   /* If global sizes are set, check if they are consistent with that given in the file */
2267   if (sizesset) {
2268     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
2269   }
2270   if (sizesset && newmat->rmap->N != grows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of rows:Matrix in file has (%d) and input matrix has (%d)",M,grows);
2271   if (sizesset && newmat->cmap->N != gcols) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of cols:Matrix in file has (%d) and input matrix has (%d)",N,gcols);
2272 
2273   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2274 
2275   /*
2276      This code adds extra rows to make sure the number of rows is
2277      divisible by the blocksize
2278   */
2279   Mbs        = M/bs;
2280   extra_rows = bs - M + bs*(Mbs);
2281   if (extra_rows == bs) extra_rows = 0;
2282   else                  Mbs++;
2283   if (extra_rows &&!rank) {
2284     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2285   }
2286 
2287   /* determine ownership of all rows */
2288   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2289     mbs        = Mbs/size + ((Mbs % size) > rank);
2290     m          = mbs*bs;
2291   } else { /* User Set */
2292     m          = newmat->rmap->n;
2293     mbs        = m/bs;
2294   }
2295   ierr       = PetscMalloc2(size+1,PetscMPIInt,&rowners,size+1,PetscMPIInt,&browners);CHKERRQ(ierr);
2296   mmbs       = PetscMPIIntCast(mbs);
2297   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2298   rowners[0] = 0;
2299   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2300   for (i=0; i<=size;  i++) browners[i] = rowners[i]*bs;
2301   rstart = rowners[rank];
2302   rend   = rowners[rank+1];
2303 
2304   /* distribute row lengths to all processors */
2305   ierr = PetscMalloc((rend-rstart)*bs*sizeof(PetscMPIInt),&locrowlens);CHKERRQ(ierr);
2306   if (!rank) {
2307     ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2308     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2309     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2310     ierr = PetscMalloc(size*sizeof(PetscMPIInt),&sndcounts);CHKERRQ(ierr);
2311     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2312     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2313     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2314   } else {
2315     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2316   }
2317 
2318   if (!rank) {   /* procs[0] */
2319     /* calculate the number of nonzeros on each processor */
2320     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
2321     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2322     for (i=0; i<size; i++) {
2323       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2324         procsnz[i] += rowlengths[j];
2325       }
2326     }
2327     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2328 
2329     /* determine max buffer needed and allocate it */
2330     maxnz = 0;
2331     for (i=0; i<size; i++) {
2332       maxnz = PetscMax(maxnz,procsnz[i]);
2333     }
2334     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2335 
2336     /* read in my part of the matrix column indices  */
2337     nz     = procsnz[0];
2338     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2339     mycols = ibuf;
2340     if (size == 1)  nz -= extra_rows;
2341     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2342     if (size == 1)  for (i=0; i< extra_rows; i++) { mycols[nz+i] = M+i; }
2343 
2344     /* read in every ones (except the last) and ship off */
2345     for (i=1; i<size-1; i++) {
2346       nz   = procsnz[i];
2347       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2348       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2349     }
2350     /* read in the stuff for the last proc */
2351     if (size != 1) {
2352       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2353       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2354       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2355       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2356     }
2357     ierr = PetscFree(cols);CHKERRQ(ierr);
2358   } else {  /* procs[i], i>0 */
2359     /* determine buffer space needed for message */
2360     nz = 0;
2361     for (i=0; i<m; i++) {
2362       nz += locrowlens[i];
2363     }
2364     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2365     mycols = ibuf;
2366     /* receive message of column indices*/
2367     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2368     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2369     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2370   }
2371 
2372   /* loop over local rows, determining number of off diagonal entries */
2373   ierr     = PetscMalloc2(rend-rstart,PetscInt,&dlens,rend-rstart,PetscInt,&odlens);CHKERRQ(ierr);
2374   ierr     = PetscMalloc3(Mbs,PetscInt,&mask,Mbs,PetscInt,&masked1,Mbs,PetscInt,&masked2);CHKERRQ(ierr);
2375   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2376   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2377   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2378   rowcount = 0;
2379   nzcount  = 0;
2380   for (i=0; i<mbs; i++) {
2381     dcount  = 0;
2382     odcount = 0;
2383     for (j=0; j<bs; j++) {
2384       kmax = locrowlens[rowcount];
2385       for (k=0; k<kmax; k++) {
2386         tmp = mycols[nzcount++]/bs; /* block col. index */
2387         if (!mask[tmp]) {
2388           mask[tmp] = 1;
2389           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2390           else masked1[dcount++] = tmp; /* entry in diag portion */
2391         }
2392       }
2393       rowcount++;
2394     }
2395 
2396     dlens[i]  = dcount;  /* d_nzz[i] */
2397     odlens[i] = odcount; /* o_nzz[i] */
2398 
2399     /* zero out the mask elements we set */
2400     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2401     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2402   }
2403     if (!sizesset) {
2404     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2405   }
2406   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2407   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2408 
2409   if (!rank) {
2410     ierr = PetscMalloc(maxnz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2411     /* read in my part of the matrix numerical values  */
2412     nz = procsnz[0];
2413     vals = buf;
2414     mycols = ibuf;
2415     if (size == 1)  nz -= extra_rows;
2416     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2417     if (size == 1)  for (i=0; i< extra_rows; i++) { vals[nz+i] = 1.0; }
2418 
2419     /* insert into matrix */
2420     jj      = rstart*bs;
2421     for (i=0; i<m; i++) {
2422       ierr = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2423       mycols += locrowlens[i];
2424       vals   += locrowlens[i];
2425       jj++;
2426     }
2427 
2428     /* read in other processors (except the last one) and ship out */
2429     for (i=1; i<size-1; i++) {
2430       nz   = procsnz[i];
2431       vals = buf;
2432       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2433       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2434     }
2435     /* the last proc */
2436     if (size != 1){
2437       nz   = procsnz[i] - extra_rows;
2438       vals = buf;
2439       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2440       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2441       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2442     }
2443     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2444 
2445   } else {
2446     /* receive numeric values */
2447     ierr = PetscMalloc(nz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2448 
2449     /* receive message of values*/
2450     vals   = buf;
2451     mycols = ibuf;
2452     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2453     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2454     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2455 
2456     /* insert into matrix */
2457     jj      = rstart*bs;
2458     for (i=0; i<m; i++) {
2459       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2460       mycols += locrowlens[i];
2461       vals   += locrowlens[i];
2462       jj++;
2463     }
2464   }
2465 
2466   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2467   ierr = PetscFree(buf);CHKERRQ(ierr);
2468   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2469   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2470   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2471   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2472   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2473   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2474   PetscFunctionReturn(0);
2475 }
2476 
2477 #undef __FUNCT__
2478 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2479 /*XXXXX@
2480    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2481 
2482    Input Parameters:
2483 .  mat  - the matrix
2484 .  fact - factor
2485 
2486    Not Collective on Mat, each process can have a different hash factor
2487 
2488    Level: advanced
2489 
2490   Notes:
2491    This can also be set by the command line option: -mat_use_hash_table fact
2492 
2493 .keywords: matrix, hashtable, factor, HT
2494 
2495 .seealso: MatSetOption()
2496 @XXXXX*/
2497 
2498 
2499 #undef __FUNCT__
2500 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2501 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2502 {
2503   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2504   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2505   PetscReal      atmp;
2506   PetscReal      *work,*svalues,*rvalues;
2507   PetscErrorCode ierr;
2508   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2509   PetscMPIInt    rank,size;
2510   PetscInt       *rowners_bs,dest,count,source;
2511   PetscScalar    *va;
2512   MatScalar      *ba;
2513   MPI_Status     stat;
2514 
2515   PetscFunctionBegin;
2516   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2517   ierr = MatGetRowMaxAbs(a->A,v,PETSC_NULL);CHKERRQ(ierr);
2518   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2519 
2520   ierr = MPI_Comm_size(((PetscObject)A)->comm,&size);CHKERRQ(ierr);
2521   ierr = MPI_Comm_rank(((PetscObject)A)->comm,&rank);CHKERRQ(ierr);
2522 
2523   bs   = A->rmap->bs;
2524   mbs  = a->mbs;
2525   Mbs  = a->Mbs;
2526   ba   = b->a;
2527   bi   = b->i;
2528   bj   = b->j;
2529 
2530   /* find ownerships */
2531   rowners_bs = A->rmap->range;
2532 
2533   /* each proc creates an array to be distributed */
2534   ierr = PetscMalloc(bs*Mbs*sizeof(PetscReal),&work);CHKERRQ(ierr);
2535   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2536 
2537   /* row_max for B */
2538   if (rank != size-1){
2539     for (i=0; i<mbs; i++) {
2540       ncols = bi[1] - bi[0]; bi++;
2541       brow  = bs*i;
2542       for (j=0; j<ncols; j++){
2543         bcol = bs*(*bj);
2544         for (kcol=0; kcol<bs; kcol++){
2545           col = bcol + kcol;                 /* local col index */
2546           col += rowners_bs[rank+1];      /* global col index */
2547           for (krow=0; krow<bs; krow++){
2548             atmp = PetscAbsScalar(*ba); ba++;
2549             row = brow + krow;    /* local row index */
2550             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2551             if (work[col] < atmp) work[col] = atmp;
2552           }
2553         }
2554         bj++;
2555       }
2556     }
2557 
2558     /* send values to its owners */
2559     for (dest=rank+1; dest<size; dest++){
2560       svalues = work + rowners_bs[dest];
2561       count   = rowners_bs[dest+1]-rowners_bs[dest];
2562       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,((PetscObject)A)->comm);CHKERRQ(ierr);
2563     }
2564   }
2565 
2566   /* receive values */
2567   if (rank){
2568     rvalues = work;
2569     count   = rowners_bs[rank+1]-rowners_bs[rank];
2570     for (source=0; source<rank; source++){
2571       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,((PetscObject)A)->comm,&stat);CHKERRQ(ierr);
2572       /* process values */
2573       for (i=0; i<count; i++){
2574         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2575       }
2576     }
2577   }
2578 
2579   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2580   ierr = PetscFree(work);CHKERRQ(ierr);
2581   PetscFunctionReturn(0);
2582 }
2583 
2584 #undef __FUNCT__
2585 #define __FUNCT__ "MatSOR_MPISBAIJ"
2586 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2587 {
2588   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2589   PetscErrorCode    ierr;
2590   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2591   PetscScalar       *x,*ptr,*from;
2592   Vec               bb1;
2593   const PetscScalar *b;
2594 
2595   PetscFunctionBegin;
2596   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2597   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2598 
2599   if (flag == SOR_APPLY_UPPER) {
2600     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2601     PetscFunctionReturn(0);
2602   }
2603 
2604   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2605     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2606       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2607       its--;
2608     }
2609 
2610     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2611     while (its--){
2612 
2613       /* lower triangular part: slvec0b = - B^T*xx */
2614       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2615 
2616       /* copy xx into slvec0a */
2617       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2618       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2619       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2620       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2621 
2622       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2623 
2624       /* copy bb into slvec1a */
2625       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2626       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2627       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2628       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2629 
2630       /* set slvec1b = 0 */
2631       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2632 
2633       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2634       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2635       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2636       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2637 
2638       /* upper triangular part: bb1 = bb1 - B*x */
2639       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2640 
2641       /* local diagonal sweep */
2642       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2643     }
2644     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2645   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)){
2646     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2647   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)){
2648     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2649   } else if (flag & SOR_EISENSTAT) {
2650     Vec               xx1;
2651     PetscBool         hasop;
2652     const PetscScalar *diag;
2653     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2654     PetscInt          i,n;
2655 
2656     if (!mat->xx1) {
2657       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2658       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2659     }
2660     xx1 = mat->xx1;
2661     bb1 = mat->bb1;
2662 
2663     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2664 
2665     if (!mat->diag) {
2666       /* this is wrong for same matrix with new nonzero values */
2667       ierr = MatGetVecs(matin,&mat->diag,PETSC_NULL);CHKERRQ(ierr);
2668       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2669     }
2670     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2671 
2672     if (hasop) {
2673       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2674       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2675     } else {
2676       /*
2677           These two lines are replaced by code that may be a bit faster for a good compiler
2678       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2679       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2680       */
2681       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2682       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2683       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2684       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2685       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2686       if (omega == 1.0) {
2687 	for (i=0; i<n; i++) {
2688 	  sl[i] = b[i] - diag[i]*x[i];
2689 	}
2690         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2691       } else {
2692 	for (i=0; i<n; i++) {
2693 	  sl[i] = b[i] + scale*diag[i]*x[i];
2694 	}
2695         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2696       }
2697       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2698       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2699       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2700       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2701     }
2702 
2703     /* multiply off-diagonal portion of matrix */
2704     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2705     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2706     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2707     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2708     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2709     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2710     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2711     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2712     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2713     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2714 
2715     /* local sweep */
2716     ierr = (*mat->A->ops->sor)(mat->A,mat->slvec1a,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_FORWARD_SWEEP),fshift,lits,1,xx1);CHKERRQ(ierr);
2717     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2718   } else {
2719     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2720   }
2721   PetscFunctionReturn(0);
2722 }
2723 
2724 #undef __FUNCT__
2725 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2726 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2727 {
2728   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2729   PetscErrorCode ierr;
2730   Vec            lvec1,bb1;
2731 
2732   PetscFunctionBegin;
2733   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2734   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2735 
2736   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2737     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2738       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2739       its--;
2740     }
2741 
2742     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2743     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2744     while (its--){
2745       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2746 
2747       /* lower diagonal part: bb1 = bb - B^T*xx */
2748       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2749       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2750 
2751       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2752       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2753       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2754 
2755       /* upper diagonal part: bb1 = bb1 - B*x */
2756       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2757       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2758 
2759       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2760 
2761       /* diagonal sweep */
2762       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2763     }
2764     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
2765     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2766   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2767   PetscFunctionReturn(0);
2768 }
2769 
2770 #undef __FUNCT__
2771 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
2772 /*@
2773      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
2774          CSR format the local rows.
2775 
2776    Collective on MPI_Comm
2777 
2778    Input Parameters:
2779 +  comm - MPI communicator
2780 .  bs - the block size, only a block size of 1 is supported
2781 .  m - number of local rows (Cannot be PETSC_DECIDE)
2782 .  n - This value should be the same as the local size used in creating the
2783        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
2784        calculated if N is given) For square matrices n is almost always m.
2785 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2786 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2787 .   i - row indices
2788 .   j - column indices
2789 -   a - matrix values
2790 
2791    Output Parameter:
2792 .   mat - the matrix
2793 
2794    Level: intermediate
2795 
2796    Notes:
2797        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
2798      thus you CANNOT change the matrix entries by changing the values of a[] after you have
2799      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
2800 
2801        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
2802 
2803 .keywords: matrix, aij, compressed row, sparse, parallel
2804 
2805 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
2806           MPIAIJ, MatCreateMPIAIJ(), MatCreateMPIAIJWithSplitArrays()
2807 @*/
2808 PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
2809 {
2810   PetscErrorCode ierr;
2811 
2812 
2813  PetscFunctionBegin;
2814   if (i[0]) {
2815     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2816   }
2817   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
2818   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2819   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
2820   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
2821   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
2822   PetscFunctionReturn(0);
2823 }
2824 
2825 
2826 #undef __FUNCT__
2827 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
2828 /*@C
2829    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2830    (the default parallel PETSc format).
2831 
2832    Collective on MPI_Comm
2833 
2834    Input Parameters:
2835 +  A - the matrix
2836 .  bs - the block size
2837 .  i - the indices into j for the start of each local row (starts with zero)
2838 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2839 -  v - optional values in the matrix
2840 
2841    Level: developer
2842 
2843 .keywords: matrix, aij, compressed row, sparse, parallel
2844 
2845 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateMPIAIJ(), MPIAIJ
2846 @*/
2847 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2848 {
2849   PetscErrorCode ierr;
2850 
2851   PetscFunctionBegin;
2852   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2853   PetscFunctionReturn(0);
2854 }
2855 
2856 
2857